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arXiv · 2110.02762

Classical non-linear operators in Grand Lebesgue Spaces

M. R. Formica·E. Ostrovsky·L. Sirota
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Abstract

We study in this short report the boundedness of classical non-linear operators: Nemytskii, Urysohn, Hammerstein acting from one Grand Lebesgue Space to another one, and deduce some its upper norm estimates. We bring also some examples to illustrate the exactness of our estimates.

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M. R. Formica, E. Ostrovsky, L. Sirota. 2021-10-05. Classical non-linear operators in Grand Lebesgue Spaces. https://arxiv.org/abs/2110.02762

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